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deff fn [24]
3 years ago
8

Options: y= -2x - 6 y= 2/3x + 6 y= -2/3x + 6 y=2x + 6

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

y = - \frac{2}{3} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m = \frac{2-6}{6-0} = \frac{-4}{6} = - \frac{2}{3}

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = - \frac{2}{3} x + 6 ← equation of line

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What is the sum of 5ft 9in + 12ft 3in
baherus [9]
We already know that 1 ft= 12 in.

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The final answer is 216 in.

Hope this would help~
4 0
3 years ago
Read 2 more answers
HELP URGENT FAST MATH
ANEK [815]
There are a couple different ways to word this, but the easiest would be by using alternate exterior angles. This means that the angle of the Pizza Palace and the angle under the Shake Hut are congruent.
54 = 54

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8 0
3 years ago
The reciprocal of 1 1/13
WINSTONCH [101]

Answer:

The answer is 14.

Step-by-step explanation:

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8 0
3 years ago
Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives
nlexa [21]

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that \mu = 7.7, \sigma = 0.2

Sample of 3:

n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8 - 7.7}{0.1155}

Z = 2.6

Z = 2.6 has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

4 0
3 years ago
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The answer to the equation is 5 oz
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